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Finding the Fourth Proportional to 3,702.86, 5,506.68 and 3,586.07

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Solution

The fourth proportional to 3,702.86, 5,506.68 and 3,586.07 is: 5,333.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.86 : 5,506.68 = 3,586.07 : x
  2. Step 2: Convert to fraction form
    3,702.86/5,506.68 = 3,586.07/x
  3. Step 3: Cross multiply
    3,702.86x = 5,506.68 × 3,586.07
  4. Step 4: Simplify right side
    3,702.86x = 19,747,367.16
  5. Step 5: Solve for x
    x = 19,747,367.16/3,702.86
  6. Step 6: Final answer
    x = 5,333.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.